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Finding the Third Proportional to 1,098,057,822 and 1,672,816,249

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Solution

The third proportional to 1,098,057,822 and 1,672,816,249 is: 2,548,421,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,057,822 : 1,672,816,249 = 1,672,816,249 : x
  2. Step 2: Convert to fraction form
    1,098,057,822/1,672,816,249 = 1,672,816,249/x
  3. Step 3: Cross multiply
    1,098,057,822x = 1,672,816,249 × 1,672,816,249
  4. Step 4: Simplify right side
    1,098,057,822x = 2,798,314,202,918,430,208
  5. Step 5: Solve for x
    x = 2,798,314,202,918,430,208/1,098,057,822
  6. Step 6: Final answer
    x = 2,548,421,537.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.